x^3=3375

Lösung

x^{3} = 3375

x = 15, x = - \frac{15}{2} + \frac{15 3}{2} i, x = - \frac{15}{2} - \frac{15 3}{2} i

Schritte zur Lösung

x^{3} = 3375

Für

x^{3} = f (a)

sind die Lösungen

x = 3 f (a), 3 f (a) \frac{- 1 - 3 i}{2}, 3 f (a) \frac{- 1 + 3 i}{2}

x = 33375, x = 33375 \frac{- 1 + 3 i}{2}, x = 33375 \frac{- 1 - 3 i}{2}

33375 = 15

Vereinfache

33375 \frac{- 1 + 3 i}{2} : - \frac{15}{2} + \frac{15 3}{2} i

Vereinfache

33375 \frac{- 1 - 3 i}{2} : - \frac{15}{2} - \frac{15 3}{2} i

x = 15, x = - \frac{15}{2} + \frac{15 3}{2} i, x = - \frac{15}{2} - \frac{15 3}{2} i

(x^{3} - 3 x^{2}) - (2 x - 6) = 0

x^{4} - 2 x^{3} - 13 x^{2} + 14 x + 24 = 0

y - y^{4} = 0

900 (1 - d)^{3} = 200

x^{4} - 2 x^{2} + x = 0